Answer:
c. 25
Explanation:
write no more than one radical
[tex]\sqrt{125} *\sqrt{5} \\\sqrt{5} \sqrt{5}\sqrt{5}\\\sqrt{5} \sqrt{5 * 5} \\5\sqrt{25}[/tex]
simplify
[tex]5\sqrt{25} \\25[/tex]
Therefore, the answer is c) 25.
Answer:
c) 25
Step-by-step explanation:
√125 x √5= √25*5*5 = √25*25= 25
If triangle ABC is congruent to triangle DEF, then BC is congruent to DE.
False
True
Answer: False
Step-by-step explanation:
If ABC is congruent to DEF, then BC is congruent to EF.
And A would be congruent to D.
Marvin the fly starts at $(0,0).$ Each step, Marvin moves one unit right or one unit up. He is trying to get to the point $(5,7)$. However, at $(4,3)$ there is a frog that will eat him if he goes through that point. In how many ways can Marvin reach $(5,7)$?
Answer:
The answer is "728 routes"
Step-by-step explanation:
The number of ways to proceed from (0, 0) to (5, 7) is as follows:
[tex]\Rightarrow \frac{(7+5)!} {(7! \times 5!)} \\\\ \Rightarrow \frac{12!}{(7! \times 5! )}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7!}{7! \times 5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5\times 4 \times 3 \times 2 \times 1}\\\\\Rightarrow \frac{ 11 \times 9 \times 8}{1}\\\\\Rightarrow 11 \times 9 \times 8\\\\\Rightarrow 11 \times 72\\\\\Rightarrow 792[/tex]
We would like to delete the ways of (0, 0) to (2, 3) That's the resolution:
[tex]\Rightarrow \frac{(3+2)!}{(3!\times2!)} \\\\ \Rightarrow \frac{5!}{(3!\times2!)} \\\\\Rightarrow \frac{5\times 4\times 3! }{(3!\times2 \times 1)} \\\\\Rightarrow \frac{5\times 4}{(2 \times 1)} \\\\\Rightarrow \frac{5\times 2}{1} \\\\\Rightarrow 10 \ ways[/tex]
[tex]So, \\\\ \Rightarrow 792 -10 \\\\ \Rightarrow 782 \ routes[/tex]
Haley used unit cubes to build a rectangular prism that is 5 units long, 3 units wide, and 4 units tall. Jeremiah used unit cubes to build a rectangular prism that has twice the volume of Haley's prism. Jeremiah's prism is 4 units long and 3 units wide. How tall is Jeremiah's prism?
Answer:
10 units
Step-by-step explanation:
Let us find the volume of Haley's prism and compare it with the volume of Jeremiah's.
The volume of Haley's prism is:
V = 5 * 3 * 4 = 60 cubic units
Jeremiah's prism has twice the volume of Haley's:
V(J) = 2 * 60 = 120 cubic units
This implies that:
120 = 4 * 3 * h
where h = height of prism
=> 120 = 12h
=> h = 120 / 12 = 10 units
Jeremiah's prism is 10 units tall.
Find the volume of the figure.
*
9 cm
10 cm
2 cm
10 cm
9 cm
Answer:
Look up how to find volume and you'll get the answer right away
Step-by-step explanation:
A line has x-intercept -8 and y-intercept 5. Determine the slope of a line perpendicular to this line.
Answer:
- 8/5
Step-by-step explanation:
A line has x-intercept -8 and y-intercept 5.
It means the line has passes through:
(-8, 0) and (0, 5)Slope as per slope formula:
m = (y2-y1)/(x2-x1) m = (5 - 0)/(0 + 8) = 5/8Perpendicular lines have slopes negative reciprocal to each other
So the slope of the perpendicular line is:
m = -1/(5/8) = - 8/5In this set of pairs of (x,y) numbers, y is directly proportional to x
Complete the following (2,3) (5,7.5) (6, ?) (?,13.5) (?,?)
What is the constant of proportionality k if y = kx?
Answer:
(6, 9) (9, 13.5) (10, 15) and k = 1.5
Step-by-step explanation:
We can plug the given points into the equation y = kx
3 = k(2)
1.5 = k (constant of proportionality)
Then, we can use this to complete the other pints.
y = 1.5(6)
y=9, so (6, 9)
13.5 = 1.5(x)
9 = x, so (9, 13.5)
If we follow the pattern, the last point should be (10, 15)
Given the equation,D=m/v if D=6/7 and =m+3 then m=. A.18 B.-18 C.15
Answer:
m = 3.86
Step-by-step explanation:
D = 6 / 7
D = m + 3
6 / 7 = m + 3
6 / 7 + 3 = m
m = 3.86
Solve by completing the square.
s2 + 22s = 27
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
Answer:
s = 1.17, -23.17
Step-by-step explanation:
s^2 + 22s = 27
Take the coefficient of s
22
Divide by 2
22/2 =11
Square it
11^2 =121
Add this to both sides
s^2 + 22s+121 = 27+121
s^2 + 22s+121 = 148
(s+11)^2 = 148
Take the square root of each side
sqrt((s+11)^2) = ±sqrt(148)
s+11 = ±sqrt(148)
Subtract 11 from each side
s+11-11 = -11 ±sqrt(148)
s = -11 ±sqrt(148)
s = -11 + sqrt(148) = 1.1655
- 11 - sqrt(148)=-23.166
Rounding to the nearest hundredth
s = 1.17, -23.17
If 3/x=5/y, what is the value of y/x?
Answer:
5/3
Step-by-step explanation:
multiply the whole thing by y to get 3y/x=5 and then divide by 3 to get y/x=5/3
Answer:
y/x=5/3
Step-by-step explanation:
3/x=5/y ⇒ y/x=5/3 replacing y with 3
One eighth of the students in
the class are in the school band.
What fraction of the total number
of students are not in the band?
Answer:
7/8 aren't in the school band
if f(x)=2x+3, what is f(-2)
Answer:
-1
Step-by-step explanation:
x=(-2)
2(-2) +3
-4 +3
= -1 .
Someone help me :)
What is the volume, to the nearest tenth of a cubic inch, of the cylinder I punto
shown below?
3 m
6 m
A 339.1
B 56.5
O C 169.6
D 27.1
Heres is an problem please answer
Answer:
2
Step-by-step explanation:
the - means you have to subtract to add. so subtract 3 over 4 and you get 2
Determine the constant of variation for the direct variation given.
2
1
1/2
Answer:
1/2
Step-by-step explanation:
The constant of variation is the same as the slope. From the graph, the slope is 1/2.
Answer:
I believe the answer is 2
Here is a list of numbers.
12 13 19 16
32 15 13
a) Work out the range of the numbers in the list.
b) Work out the median of the numbers in the list.
_________________________________
Answers:Range=20
Median=15
Step by step explanation:
Solution,
Given data=12,13,19,16,32,15,13
Highest score=32
lowest score=12
a. Range= highest score- lowest score
= 32-12
= 20
B. Arranging the data in ascending order
= 12,13,13,15,16,19,32
N( total number of items)= 7
Median= (N+1/2)th item
=(7+1/2) th item
= (8/2) th item
= 4 th item
Median = 15
Hope it helps
Good luck on your assignment
_________________________________
ALL YOU NEED TO DO IS DRAW THIS!!!!! Circle ω1 with center K of radius 4 and circle ω2 of radius 6 intersect at points W and U. If the incenter of 4KW U lies on circle ω2, find the length of W U. (Note: The incenter of a triangle is the intersection of the angle bisectors of the angles of the triangle)
Answer:
WU = (14√13)/13 ≈ 6.6564
Step-by-step explanation:
Call the incenter of ∆KWU point A. Call the center of circle ω2 point B.
Then ∠KWA has half the measure of arc WA. ∠AWU is congruent to ∠KWA, so also has half the arc measure. That is, ∠KWU has the same measure as arc WA and ∠KBW.
KB is a perpendicular bisector of chord WU, so ∆KWB is a right triangle, of which WU is twice the altitude to base KB.
The length of KB can be found several ways. One of them is to use the Pythagorean theorem:
KB² = KW² +WB² = 4² +6² = 52
KB = √52 = 2√13
The area of triangle KWB is ...
area ∆KWB = (1/2)KW·WB = (1/2)(4)(6) = 12 . . . . square units
Using KB as the base in the area calculation, we have ...
area ∆KWB = (1/2)(KB)(WU/2)
12 = KB·WU/4
WU = 48/KB = 48/(2√13) = 24/√13
WU = (24√13)/13 ≈ 6.6564
What is the area of the parallelogram?
6
5
4
Step-by-step explanation:
A=base length × height
if base is 6cm, and h 4 cm, multiply
6×4=24cm2
simplify √x^2+6x+9 if x≥3
Answer:
simplified expression for √x^2+6x+9 if x≥3
is x+3
Step-by-step explanation:
[tex]\sqrt{x^2+6x+9} \\=>\sqrt{x^2+3x+3x+9} \\=>\sqrt{x(x+3)+3(x+3)} \\=>\sqrt{(x+3)(x+3)} \\=>\sqrt{(x+3)^2}\\=>(x+3) \ or -(x+3)[/tex]
but given that x≥3
then we have to negate solution -(x+3)\
Then simplified expression for √x^2+6x+9 if x≥3
is x+3
The total cost in dollars to buy
uniforms for the soccer team players
can be found using the function
y = 28.95x + 4.25, where x is the number
of uniforms purchased. If there are a
minimum of 16 players and at most 20
players on the team, what is the domain
of the function for this situation?
A 0
B 0
C {16, 17, 18, 19, 20}
D {467.45, 496.40, 525.35, 554.30,
583.25}
The instructions state "there are a minimum of 16 players and at most 20 players on the team". This means that we have between 16 and 20 players, inclusive of both endpoints. Therefore, x can take on any whole number between 16 and 20. The domain is the set of allowed x inputs of a function.
Which is a y-intercept of the graphed function?
(-9.0)
(-3.0)
(0, -9)
(0.-3)
Answer: (0,-9)
Step-by-step explanation:
(0,-9) is the y-intercept because it is the point at which the function crosses the y-axis.
two dice are thrown together find the probability of getting
a.) two 5s
b.) a total of 8
c.) two perfect square
d.) two even numbers
URGENT I NEED HELPPP
Answer:
Step-by-step explanation:
The only valid expression from the given list is the one that uses the arctangent ([tex]tan^{-1}(0.75)[/tex] ) function.
Recall that the tangent of an acute angle in a right angle triangle is defined as:
[tex]tan(B)=\frac{opposite}{adjacent}[/tex]
therefore in our case we have:
[tex]tan(B)=\frac{opposite}{adjacent} \\tan(B) = \frac{12}{16} \\tan(B)=0.75\\B=arctan(0.75)[/tex]
nine business associates share $736800 from the sale of their company calculate to the nearest count how much they each receive
Step-by-step explanation:
1 business = 736800 ÷ 9 = 81866.66
Each business associates 81866.66
PLEASE ANSWER THIS MATH QUESTION !! THANK U !! 19 POINTS AND BRAINLIEST !!
Answer:
a
Step-by-step explanation:
the side x looks smaller than 8 m.
The only option smaller than 8 m is a, 5.2 m
Find the common ratio for the geometric sequence for which a1=1 and a5=625
Answer:
r = 5
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r is the common ratio
Here a₁ = 1 and a₅ = 625, thus
1 × [tex]r^{4}[/tex] = 625 , so
r = [tex]\sqrt[4]{625}[/tex] = 5
The common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a geometric sequence for which:
The first term a1 = 1
and fifth term:
a5 = 625
As we know, the geometric sequence follows a certain arithmetic rule of multiplication.
The nth term of the geometric sequence is:
a(n) = arⁿ⁻¹
a1 = a = 1
a5 = ar⁵⁻¹ = 625
Take the ratios:
a/ar⁵⁻¹ = 1/625
r is the common ratio.
1/r⁴ = 1/625
r⁴ = 625
r = 5
The common ratio is 5.
Thus, the common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ5
PLEASE SOMEONE HELP ME ON 4,5, AND 6 ASAP.
Answer:
see below
Step-by-step explanation:
4. If ∠AYX = 25.5° that means that ∠XYZ = 25.5 * 2 = 51° because YA is the angle bisector.
5. If ∠XYZ = 64°, ∠AYZ = 64 / 2 = 32°.
6. You can construct ∠P and PQ by using a protractor. I'm not sure how to attach an image so I'll just tell you the answer I got for c which is about 3 cm.
Part 1= You are shopping for a shirt, and you want to get the best deal. You go to two stores, the first of which is JCPenney. What is the cost of the shirt at JCPenney?
Part 2=The second store you go to is Macy's. What is the cost of the shirt at Macy? *
Part 3=Which store has the better deal? *
A- Macy's
B- JCPenney
Answer:
Macy’s
Step-by-step explanation:
let’s find the cost of each shirt
JCPenny’s: 14.99 x 0.80 = $11.99
11.99 x 1.06 = $12.70
The final cost of the JCPenny shirt is $12.70
Macy’s: 17.99 x 0.65 = $11.69
11.69 x 1.07 = $12.51
The final cost of the Macy’s shirt is $12.51
$12.51 is less than $12.70
So, the Macy’s shirt is the better deal :)
Need help can someone plz help me solved this problem ASAP! Need help I will mark you as brainiest
Answer: 2, 6
Step-by-step explanation:
Triangle Inequality Theorem states that the sum of two sides must be GREATER than the third side.
RS + ST > RT and RS + RT > ST and ST + RT > RS
2x + 4x > 12 2x + 12 > 4x 4x + 12 > 2x
6x > 12 12 > 2x 12 > -2x
x > 2 6 > x -6 < x
2 < x x < 6 invalid
Answer: 2 < x < 6
Graph: O----------------------O
2 6
Note: -6 is invalid because you cannot have a negative length.
For cones with radius 6 units, the equation =12ℎ V = 12 π h =12ℎ V = 12 π h relates the height ℎ h ℎ h of the cone, in units, and the volume V V of the cone, in cubic units.
Answer:
Step-by-step explanation:
The question is not properly structured. Here is the complete question.
For cones with radius 6 units, the equation V=12\pi h relates the height h of the cone, in units, and the volume V of the cone, in cubic units. Sketch a graph of this equation on the axes.
The formula for calculating the volume of a cone is expressed as shown;
[tex]V = \frac{1}{3} \pi r^{2} h[/tex] where r is the radius and h is the height.
Given radius r = 6units, on substituting;
[tex]V = \frac{1}{3}*\pi *6^{2}*h\\ V = \frac{36\pi h}{3}\\V = 12\pi h... (1)[/tex]
It can be seen from the derived volume of the cone that it is linear in nature. The volume of the cone has a linear relationship with its height. As the volume increases, the height also increases and vice versa.
Generally for a direct variation
[tex]if\ y\ \alpha x \ \\y = kx[/tex]
where k is the constant of proportionality. comparing to equation 1, k = 12π.
Find the graph attached
The diagram shows part of a regular polygon. The sides of this polygon subtend angles of 20° at the centre of the polygon. How many sides does the polygon have?
360÷20 = 18sides
U divide 360 by 20 because angles at the center add up to 360°
The given polygon will have 18 sides in total.
Given information:
The diagram shows part of a regular polygon.
The sides of this polygon subtend angles of 20° at the center of the polygon.
Let the polygon has n number of sides.
Now, the polygon is regular. So, its each side will be equal and it will make equal angle with the center.
The sum of angles made by all the sides will be equal to 360 degrees.
So, the number of sides n can be calculated as,
[tex]20\times n=360\\n=\dfrac{360}{20}\\n=18[/tex]
Therefore, the given polygon will have 18 sides in total.
For more details, refer to the link:
https://brainly.com/question/22831826